Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
3119827
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
Alexander S. Kechris
Title:
Global aspects of ergodic group actions
Additional book information:
AMS Mathematical Surveys and Monographs, vol. 160,
American Mathematical Society,
Providence, RI,
2010,
xii+237 pp.,
ISBN 978-0-8218-4894-4
Ferenc Beleznay and Matthew Foreman, The collection of distal flows is not Borel, Amer. J. Math. 117 (1995), no. 1, 203–239. MR 1314463, DOI 10.2307/2375041
Matthew Foreman, Daniel J. Rudolph, and Benjamin Weiss, The conjugacy problem in ergodic theory, Ann. of Math. (2) 173 (2011), no. 3, 1529–1586. MR 2800720, DOI 10.4007/annals.2011.173.3.7
H. Furstenberg, The structure of distal flows, Amer. J. Math. 85 (1963), 477–515. MR 157368, DOI 10.2307/2373137
Walter Helbig Gottschalk and Gustav Arnold Hedlund, Topological dynamics, American Mathematical Society Colloquium Publications, Vol. 36, American Mathematical Society, Providence, R.I., 1955. MR 0074810
Paul R. Halmos, In general a measure preserving transformation is mixing, Ann. of Math. (2) 45 (1944), 786–792. MR 11173, DOI 10.2307/1969304
Sorin Popa, Some computations of 1-cohomology groups and construction of non-orbit-equivalent actions, J. Inst. Math. Jussieu 5 (2006), no. 2, 309–332. MR 2225044, DOI 10.1017/S1474748006000016
V. Rohlin, A “general” measure-preserving transformation is not mixing, Doklady Akad. Nauk SSSR (N.S.) 60 (1948), 349–351 (Russian). MR 0024503
J. von Neumann, Zur Operatorenmethode in der klassischen Mechanik, Ann. of Math. (2) 33 (1932), no. 3, 587–642 (German). MR 1503078, DOI 10.2307/1968537
References
- Ferenc Beleznay and Matthew Foreman, The collection of distal flows is not Borel, Amer. J. Math. 117 (1995), no. 1, 203–239. MR 1314463 (96e:54032), DOI 10.2307/2375041
- Matthew Foreman, Daniel J. Rudolph, and Benjamin Weiss, The conjugacy problem in ergodic theory, Ann. of Math. (2) 173 (2011), no. 3, 1529–1586. MR 2800720 (2012k:37006), DOI 10.4007/annals.2011.173.3.7
- H. Furstenberg, The structure of distal flows, Amer. J. Math. 85 (1963), 477–515. MR 0157368 (28 \#602)
- Walter Helbig Gottschalk and Gustav Arnold Hedlund, Topological dynamics, American Mathematical Society Colloquium Publications, Vol. 36, American Mathematical Society, Providence, R. I., 1955. MR 0074810 (17,650e)
- Paul R. Halmos, In general a measure preserving transformation is mixing, Ann. of Math. (2) 45 (1944), 786–792. MR 0011173 (6,131d)
- Sorin Popa, Some computations of 1-cohomology groups and construction of non-orbit-equivalent actions, J. Inst. Math. Jussieu 5 (2006), no. 2, 309–332. MR 2225044 (2007b:37008), DOI 10.1017/S1474748006000016
- V. Rohlin, A “general” measure-preserving transformation is not mixing, Doklady Akad. Nauk SSSR (N.S.) 60 (1948), 349–351 (Russian). MR 0024503 (9,504d)
- J. von Neumann, Zur Operatorenmethode in der klassischen Mechanik, Ann. of Math. (2) 33 (1932), no. 3, 587–642 (German). MR 1503078, DOI 10.2307/1968537
Review Information:
Reviewer:
Benjamin Weiss
Affiliation:
Institute of Mathematics, Hebrew University of Jerusalem
Email:
weiss@math.huji.ac.il
Journal:
Bull. Amer. Math. Soc.
51 (2014), 163-168
DOI:
https://doi.org/10.1090/S0273-0979-2013-01422-8
Published electronically:
July 1, 2013
Review copyright:
© Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
